期刊文献+

对函数Bézier三角片凸性条件的推广 被引量:1

The Extension of the Conditions of Convexity for Bernstein-Bezier Surfaces Over Triangles
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摘要 本文首先介绍几个引理,给出Bernstein多项式积的Bernstein多项式表示,然后提出函数Bézier三角片为凸的一个充分条件,推广文献[1],[2],[3]中结果。 A sufficient condition which is superior to that of Chang and Feng for convexity of the Bernstein-Bezier polynomials of degree n over triangles is presented. The condition is necessary for n=2 and 3.
作者 周昌政
出处 《应用数学与计算数学学报》 1991年第2期87-91,共5页 Communication on Applied Mathematics and Computation
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同被引文献9

  • 1Zhang Yunfeng,Duan Qi,Twizell E H.Convexity control of a bivariate rational interpolating spline surfaces. Computers and Graphics . 2007
  • 2Li Aidi.Convexity preserving interpolation. Computer Aided Geometric Design . 1999
  • 3Hu Qianqian,Wang Guojin.Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm L2. Journal of Computational and Applied Mathematics . 2008
  • 4Xu Huixia,Wang Guojin.Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces. Journal of Computational and Applied Mathematics . 2009
  • 5Chang G Z,Feng Y Y.An improved condition for the convexity of Bernstein-Bézier surfaces over triangles. Computer Aided Geometric Design . 1984
  • 6Chang G Z,Feng Y Y.A new proof for the convexity of Bemstein-Bézier surfaces over triangles. Chinese Annals of Mathematics . 1985
  • 7Lai M J.Some sufficient conditions for convexity of multivariate Bemstein-Bézier polynomials and box spline surfaces. Studia Scientiarum Mathematicarum Hungarica . 1990
  • 8Carnicer J M,Floater M S,Pefia J M.Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces. Computer Aided Geometric Design . 1997
  • 9Chang G,Davis P J.The convexity of Bernstein polynomials over triangles. Journal of Approximation Theory . 1984

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